000			04310nam a22002057a 4500
999			_c44678 _d44678
020			_a9780321982575
020			_a0321982576
082			_a512.5 _bMAC
100			_aMcDonald, Judith
245			_aStudent study guide, Linear algebra and its applications, fifth edition, David C. Lay, University of Maryland, Steven R. Lay, Lee University, Judi J. McDonald, Washington State University
260			_aBoston : _bPearson, _c[2016] ©2016
300			_avarious pagination _billustrations ;
505			_a ch. 1. Linear Equations in Linear Algebra -- 1.1. Systems of Linear Equations -- 1.2. Row Reduction and Echelon Forms -- 1.3. Vector Equations -- 1.4. The Matrix Equations Ax=b -- 1.5. Solution Sets of Linear Systems -- 1.6. Applications of Linear Systems -- 1.7. Linear Independence -- 1.8. Introduction to Linear Transformations -- 1.9. Matrix of a Linear Transformation -- 1.10. Linear Models in Business, Science, and Engineering -- Supplementary Exercises -- Glossary Checklist -- ch. 2. Matrix Algebra -- 2.1. Matrix Operations -- 2.2. The Inverse of a Matrix -- 2.3. Characterization of Invertible Matrices -- 2.4. Partitioned Matrices -- 2.5. Matrix Factorizations -- 2.6. The Leontief Input-Output Model -- 2.7. Applications to Computer Graphics -- 2.8. Subspaces of Rn -- 2.9. Dimension and Rank -- Supplementary Exercises -- Glossary Checklist -- ch. 3. Determinants -- 3.1. Introduction to Determinants -- 3.2. Properties of Determinants -- 3.3. Cramer's Rule, Volume and Linear Transformations -- Glossary Checklist -- ch. 4. Vector Spaces -- 4.1. Vector Spaces and Subspaces -- 4.2. Null Spaces, Column Spaces, and Linear Transformations -- 4.3. Linearly Independent Sets; Bases -- 4.4. Coordinate Systems -- 4.5. The Dimension of a Vector Space -- 4.6. Rank -- 4.7. Change of Basis -- 4.8. Applications to Difference Equations -- 4.9. Applications to Markov Chains -- Glossary Checklist -- ch. 5. Eigenvalues and Eigenvectors -- 5.1. Eigenvectors and Eigenvalues -- 5.2. The Characteristic Equation -- 5.3. Diagonalization -- 5.4. Eigenvectors and Linear Transformations -- 5.5.Complex Eigenvalues -- 5.6. Discrete Dynamical Systems -- 5.7. Applications to Differential Equations -- 5.8. Iterative Estimates for Eigenvalues -- Glossary Checklist -- ch. 6. Orthogonality and Least Squares -- 6.1. Inner Product, Length, and Orthogonality -- 6.2. Orthogonal Sets -- 6.3. Orthogonal Projections -- 6.4. The Gram-Schmidt Process -- 6.5. Least-Squares Problems -- 6.6. Applications to Linear Models -- 6.7. Inner Product Spaces -- 6.8. Applications of Inner Product Spaces -- Glossary Checklist -- ch. 7. Symmetric Matrices and Quadratic Forms -- 7.1. Diagonalization of Symmetric Matrices -- 7.2. Quadratic Forms -- 7.3. Constrained Optimization -- 7.4. The Singular Value Decomposition -- 7.5. Applications to Image Processing and Statistics -- Supplementary Exercises -- Glossary Checklist -- ch. 8. The Geometry of Vector Spaces -- 8.1. Affine Combinations -- 8.2. Affine Independence -- 8.3. Convex Combinations -- 8.4. Hyperplanes -- 8.5. Polytopes -- 8.6. Curves and Surfaces -- Glossary Checklist -- TECHNOLOGY INDEX OF PROCEDURES AND TERMS -- APPENDICES -- Introduction TO MATLAB -- Getting Started With Matlab -- Script M-Files -- Index of Matlab Commands -- Notes For the Maple Computer Algebra System -- Getting Started With Maple -- Study Guide Notes -- Index of Maple Commands -- Notes For the Mathematica Computer Algebra System -- Getting Started With Mathematica -- Study Guide Notes -- Index of Mathematica Commands -- Notes For the TI-83+/84+/89 Graphic Calculators -- Getting Started with a TI-83+ Calculator -- Getting Started with a TI-84+ Calculator -- Getting Started with a TI-89 Calculator -- Study Guide Notes -- Index of TI-84 Family Commands --Index of TI-89 Commands.
520			_aAn integral part of this text, the Study Guide incorporates detailed solutions to every third odd-numbered exercise, as well as solutions to every odd-numbered writing exercise for which the main text only provides a hint.
650			_aAlgebras, Linear -- Study guides.
650			_aAlgebras, Linear.
700			_aLay, Steven R
700			_aLay, David C
942			_cREF